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Record Nr. |
UNINA9910480394403321 |
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Autore |
Caprace Pierre-Emmanuel <1981-> |
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Titolo |
"Abstract" homomorphisms of split Kac-Moody groups / / Pierre-Emmanuel Caprace |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2009 |
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©2009 |
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ISBN |
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Descrizione fisica |
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1 online resource (108 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 198, Number 924 |
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Disciplina |
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Soggetti |
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Isomorphisms (Mathematics) |
Automorphisms |
Kac-Moody algebras |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 198, Number 924 (first of 6 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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""Contents""; ""Introduction""; ""Acknowledgements""; ""Chapter 1. The objects: Kac-Moody groups, root data and Tits buildings""; ""1.1. Kac-Moody groups and Tits functors""; ""1.2. Root data""; ""1.3. Tits buildings""; ""1.4. Twin root data and twin buildings: a short dictionary""; ""Chapter 2. Basic tools from geometric group theory""; ""2.1. CAT(0) geometry""; ""2.2. Rigidity of algebraic-group-actions on trees""; ""Chapter 3. Kac-Moody groups and algebraic groups""; ""3.1. Bounded subgroups""; ""3.2. Adjoint representation of Tits functors"" |
""3.3. A few facts from the theory of algebraic groups""""Chapter 4. Isomorphisms of Kac-Moody groups: an overview""; ""4.1. The isomorphism theorem""; ""4.2. Diagonalizable subgroups and their centralizers""; ""4.3. Completely reducible subgroups and their centralizers""; ""4.4. Basic recognition of the ground field""; ""4.5. Detecting rank one subgroups of Kac-Moody groups""; ""4.6. Images of diagonalizable subgroups under Kac-Moody group isomorphisms""; ""4.7. A technical auxiliary to the isomorphism theorem""; ""Chapter 5. Isomorphisms of Kac-Moody groups in characteristic zero"" |
""5.1. Rigidity of SL[sub(2)](Q)-actions on CAT(0) polyhedral complexes""""5.2. Homomorphisms of Chevalley groups over Q to Kac- |
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Moody groups""; ""5.3. Regularity of diagonalizable subgroups""; ""5.4. Proof of the isomorphism theorem""; ""Chapter 6. Isomorphisms of Kac-Moody groups in positive characteristic""; ""6.1. On bounded subgroups of Kac-Moody groups""; ""6.2. Homomorphisms of certain algebraic groups to Kac-Moody groups""; ""6.3. Images of certain small subgroups under Kac-Moody group isomorphisms""; ""6.4. Proof of the isomorphism theorem"" |
""Chapter 7. Homomorphisms of Kac-Moody groups to algebraic groups""""7.1. The non-linearity theorem""; ""7.2. A combinatorial characterization of affine Coxeter groups""; ""7.3. On infinite root systems""; ""7.4. Proof of the non-linearity theorem""; ""Chapter 8. Unitary forms of Kac-Moody groups""; ""8.1. Introduction""; ""8.2. Definitions""; ""8.3. Isomorphisms of unitary forms""; ""8.4. Non-linearity""; ""Bibliography""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""G""; ""H""; ""I""; ""K""; ""L""; ""M""; ""N""; ""O""; ""P""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W"" |
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2. |
Record Nr. |
UNINA9910784840903321 |
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Titolo |
Ethics in the virtual world [[electronic resource] /] / guest editor: John Strain |
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Pubbl/distr/stampa |
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Bradford, England, : Emerald Group Publishing, c2007 |
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ISBN |
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1-281-07929-4 |
9786611079291 |
1-84663-633-7 |
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Descrizione fisica |
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1 online resource (49 p.) |
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Collana |
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Journal of Information, Communication and Ethics in Society ; ; 5, no. 1 |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Information technology - Moral and ethical aspects |
Electronic data processing - Moral and ethical aspects |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di contenuto |
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Cover; CONTENTS; Editorial board; Ethics in the virtual world; Ethical issues in the use of electronic health records for pharmacy medicines sales; A phenomenological perspective on clinical communication and interaction; Assessing students' ethical development in computing with |
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the defining issues test; Book reviews; Note from the publisher |
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Sommario/riassunto |
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This e-book presents three papers presented at the Second International Conference on Teaching Applied and Professional Ethics in Higher Education in September 2005. The papers - based around the conference theme of "Ethics in the Virtual World" - reflect major and continuing themes in computing, ethics and society: access to confidential and sensitive health records; and the teaching of professional computing ethics information. |
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